Search a number
-
+
53412340 = 22541531229
BaseRepresentation
bin1100101111000…
…0000111110100
310201111121221211
43023300013310
5102133143330
65144451204
71215666052
oct313600764
9121447854
1053412340
1128171533
1215a79b04
13b0b1647
1471451d2
154a50d2a
hex32f01f4

53412340 has 48 divisors (see below), whose sum is σ = 117164880. Its totient is φ = 20433920.

The previous prime is 53412311. The next prime is 53412343. The reversal of 53412340 is 4321435.

53412340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 501264 + 52911076 = 708^2 + 7274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53412343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42846 + ... + 44074.

It is an arithmetic number, because the mean of its divisors is an integer number (2440935).

Almost surely, 253412340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58582440).

53412340 is an abundant number, since it is smaller than the sum of its proper divisors (63752540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53412340 is a wasteful number, since it uses less digits than its factorization.

53412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 53412340 is about 7308.3746483059. The cubic root of 53412340 is about 376.6001901463.

Adding to 53412340 its reverse (4321435), we get a palindrome (57733775).

The spelling of 53412340 in words is "fifty-three million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 1229 2173 2458 4346 4916 6145 8692 10865 12290 21730 24580 43460 50389 65137 100778 130274 201556 251945 260548 325685 503890 651370 1007780 1302740 2670617 5341234 10682468 13353085 26706170 53412340